We're dividing 4331125 by 585 
We're looking to find how many times 585 goes into 4331125.

Advancing to step 1:
585 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 585

Moving on to step 2:
The number 585 fits into 43 0 times, leaving a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Fetch the next digit (3) from the dividend, attach it to 43 and continue: 433 / 585

On to step 3:
If we divide 433 by 585, we get 0 and a remainder of 433.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 433 after subtracting 0 from 433.
Grab the next digit (1) from the dividend, add it to 433, then carry on: 4331 / 585

On to step 4:
585 can be fit into 4331 7 times, resulting in a remainder of 236.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 4095 from 4331 leaves us with 236.
Bring next digit (1) of the dividend behind the 236 and repeat the process: 2361 / 585

On to step 5:
585 can be fit into 2361 4 times, resulting in a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Subtract 2340 from 2361 to get 21.
Include the next digit (2) from the dividend after 21, then repeat: 212 / 585

Step 6:
The number 585 fits into 212 0 times, leaving a remainder of 212.
Use 0 as the next digit of our solution. 
Result so far: 740.0
Subtracting 0 from 212 leaves us with 212.
Bring next digit (5) of the dividend behind the 212 and repeat the process: 2125 / 585

Moving on to step 7:
The number 585 fits into 2125 3 times, leaving a remainder of 370.
The number 3 becomes the next digit in our result. 
Result so far: 7403.0
If we subtract 1755 from 2125, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Moving on to step 8:
585 can be fit into 3700 6 times, resulting in a remainder of 190.
Record the quotient 6 as the next digit in the result. 
Result so far: 7403.6
Subtract 3510 from 3700 to get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 9:
If we divide 1900 by 585, we get 3 and a remainder of 145.
Record the quotient 3 as the next digit in the result. 
Result so far: 7403.63
Subtracting 1755 from 1900 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 10:
If we divide 1450 by 585, we get 2 and a remainder of 280.
Write down 2 as next digit of the result. 
Result so far: 7403.632
The remainder is 280 after subtracting 1170 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Moving on to step 11:
585 goes into 2800 4 times with a remainder of 460.
Record the quotient 4 as the next digit in the result. 
Result so far: 7403.6324
Subtract 2340 from 2800 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

On to step 12:
585 goes into 4600 7 times with a remainder of 505.
The number 7 becomes the next digit in our result. 
Result so far: 7403.63247
Deduct 4095 from 4600 and we're left with 505.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5050, and continue the process.

Step 13:
If we divide 5050 by 585, we get 8 and a remainder of 370.
Record the quotient 8 as the next digit in the result. 
Result so far: 7403.632478
If we subtract 4680 from 5050, we get 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3700, and continue the process.

Moving on to step 14:
When dividing 3700 by 585, we get 6 with a remainder of 190.
Record the quotient 6 as the next digit in the result. 
Result so far: 7403.6324786
If we subtract 3510 from 3700, we get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

On to step 15:
585 can be fit into 1900 3 times, resulting in a remainder of 145.
Write down 3 as next digit of the result. 
Result so far: 7403.63247863
Subtracting 1755 from 1900 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

The final result is 7403.63247863 with a remainder of 1.45e-07.